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Finding the Fourth Proportional to 9,535.20, 14,302.80 and 2,515.20

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Solution

The fourth proportional to 9,535.20, 14,302.80 and 2,515.20 is: 3,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.20 : 14,302.80 = 2,515.20 : x
  2. Step 2: Convert to fraction form
    9,535.20/14,302.80 = 2,515.20/x
  3. Step 3: Cross multiply
    9,535.20x = 14,302.80 × 2,515.20
  4. Step 4: Simplify right side
    9,535.20x = 35,974,402.56
  5. Step 5: Solve for x
    x = 35,974,402.56/9,535.20
  6. Step 6: Final answer
    x = 3,772.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.